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Question

Find dydx,x=a(cost+logtant2),y=asint

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Solution

x=a(cost+logtant2) ; y=asint

dxdt=a(sint+1tant/2×sec2t/2×12)

=a(sint+12cost/2sint/2cos2t/2)

=a(sint+1sint)

=a(cos2tsint)

dydx=acost

dydx=acosta(cos2tsint)

=sintcost=tant

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